137547920 has 40 divisors (see below), whose sum is σ = 320410296. Its totient is φ = 54914048.

The previous prime is 137547911. The next prime is 137547923. The reversal of 137547920 is 29745731.

It can be written as a sum of positive squares in 4 ways, for example, as 1936 + 137545984 = 44^2 + 11728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (137547923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50924 + ... + 53556.

Almost surely, 2^137547920 is an apocalyptic number.

137547920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137547920 is an abundant number, since it is smaller than the sum of its proper divisors (182862376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137547920 is a wasteful number, since it uses less digits than its factorization.

137547920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 137547920 is about 11728.0825372266. The cubic root of 137547920 is about 516.2000105981.

The spelling of 137547920 in words is "one hundred thirty-seven million, five hundred forty-seven thousand, nine hundred twenty".